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We've added a "Necessary cookies only" option to the cookie consent popup, Density of $C^{\infty}_{c}(\mathbb{R}^{N})$ in $\mathcal{S}(\mathbb{R}^{N})$, Exercise $10$ of Chapter $4$ in Fourier Analysis by Stein & Shakarchi, Proving the continuity of Fourier Transform between Schwartz spaces via sequences, Exercise 2.3.5 in Grafakos, Classical Fourier Analysis, (Grafakos 2.2.12) Prove that all Schwartz functions $f$ on $\Bbb R^n$ satisfy this inequality. pages 37-38 Solution manual University Calculus - Early Transcendentals (2nd Ed., Joel R. Hass, (Ronald E. Walpole, Raymond Myers, Sharon L. Myers, Keying E. Ye) Devore and Kenneth N. Berk) Classical Fourier Analysis also comes equipped with a wealth of exercise and each chapter is capped off by a wonderful Historical Notes . Solution manual Design and Analysis of Experiments (7th Ed., Douglas Montgomery)
